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math.AP2019★ 8 cited
To the theory of entropy sub-solutions of degenerate non-linear parabolic equations
Evgeny Yu. Panov
We prove existence of the largest entropy sub-solution and the smallest entropy super-solution to the Cauchy problem for a nonlinear degenerate parabolic equation with only continu…
math.AP2019
On decay of entropy solutions to multidimensional conservation laws
Evgeny Yu. Panov
Under a precise genuine nonlinearity assumption we establish the decay of entropy solutions of a multidimensional scalar conservation law with merely continuous flux.
math.AP2019
Decay of periodic entropy solutions to degenerate nonlinear parabolic equations
Evgeniy Yu. Panov
Under a precise nonlinearity-diffusivity condition we establish the decay of space-periodic entropy solutions of a multidimensional degenerate nonlinear parabolic equation.